Suppose our population is {2, 4, 6, 8}, with each value equally likely (e.g. P(2) P(4) = 2. We're sampling without replacement, meaning a number can't appear more than once in our sample. %3D 1/4). We are interested in the sampling distribution of X based on samples of size n = (a) List out all possible samples of size 2. (b) Find X for each of the samples in (a). (c) Give the probability distribution of X. This is its sampling distribution. (d) What is the probability of obtaining a sample mean of 5 from a sample of size 2 from this popu- lation?

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